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Beliebt Trigonometrie >

csc(x+10)=3

Lösung

csc (x + 1 0^{\circ}) = 3

Lösung

x = 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

Radianten

x = 0.33983 \dots - \frac{π}{18} + 2 πn, x = π - 0.33983 \dots - \frac{π}{18} + 2 πn

Schritte zur Lösung

csc (x + 1 0^{\circ}) = 3

Wende die Eigenschaften der Trigonometrie an

csc (x + 1 0^{\circ}) = 3

Allgemeine Lösung für

csc (x + 1 0^{\circ}) = 3

csc (x) = a \Rightarrow x = arccsc (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (a) + 36 0^{\circ} n

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n, x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n, x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

Löse

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n : x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

Löse

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n : x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

Verschiebe

1 0^{\circ}

auf die rechte Seite

x + 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n

Subtrahiere

1 0^{\circ}

von beiden Seiten

x + 1 0^{\circ} - 1 0^{\circ} = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

Vereinfache

x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

x = arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - arccsc (3) + 36 0^{\circ} n - 1 0^{\circ}

Zeige Lösungen in Dezimalform

x = 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 18 0^{\circ} - 0.33983 \dots + 36 0^{\circ} n - 1 0^{\circ}

Graph

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